We look at the division of 7781678 by 840 
We're looking to find how many times 840 goes into 7781678.

Step 1:
The number 840 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 840

Step 2:
840 goes into 77 0 times with a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 77 leaves us with 77.
Grab the next digit (8) from the dividend, add it to 77, then carry on: 778 / 840

On to step 3:
840 goes into 778 0 times with a remainder of 778.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 778 to get 778.
Include the next digit (1) from the dividend after 778, then repeat: 7781 / 840

Going ahead to step 4:
840 can be fit into 7781 9 times, resulting in a remainder of 221.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 7560 from 7781 to get 221.
Grab the next digit (6) from the dividend, add it to 221, then carry on: 2216 / 840

Advancing to step 5:
If we divide 2216 by 840, we get 2 and a remainder of 536.
Use 2 as the next digit of our solution. 
Result so far: 92.0
Subtract 1680 from 2216 to get 536.
Append the next digit (7) from the dividend to 536 and continue with: 5367 / 840

Let's proceed to step 6:
840 goes into 5367 6 times with a remainder of 327.
Use 6 as the next digit of our solution. 
Result so far: 926.0
Subtracting 5040 from 5367 leaves us with 327.
Take the next digit (8) from the dividend and append it to 327, then repeat: 3278 / 840

Let's proceed to step 7:
3278 divided by 840 is 3 with a remainder of 758.
Put 3 as the next digit of the answer. 
Result so far: 9263.0
Subtract 2520 from 3278 to get 758.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7580, and continue the process.

Let's proceed to step 8:
When dividing 7580 by 840, we get 9 with a remainder of 20.
Put 9 as the next digit of the answer. 
Result so far: 9263.9
Deduct 7560 from 7580 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
200 divided by 840 is 0 with a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 9263.9
If we take 0 away from 200, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Step 10:
840 can be fit into 2000 2 times, resulting in a remainder of 320.
Use 2 as the next digit of our solution. 
Result so far: 9263.902
If we take 1680 away from 2000, we end up with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Moving on to step 11:
840 can be fit into 3200 3 times, resulting in a remainder of 680.
Put 3 as the next digit of the answer. 
Result so far: 9263.9023
The remainder is 680 after subtracting 2520 from 3200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

Moving on to step 12:
The number 840 fits into 6800 8 times, leaving a remainder of 80.
Write down 8 as next digit of the result. 
Result so far: 9263.90238
If we take 6720 away from 6800, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 13:
The number 840 fits into 800 0 times, leaving a remainder of 800.
Write down 0 as next digit of the result. 
Result so far: 9263.90238
Deduct 0 from 800 and we're left with 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8000, and continue the process.

Let's proceed to step 14:
840 goes into 8000 9 times with a remainder of 440.
The next digit of our result is 9. 
Result so far: 9263.9023809
If we subtract 7560 from 8000, we get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

On to step 15:
When dividing 4400 by 840, we get 5 with a remainder of 200.
The next digit of our result is 5. 
Result so far: 9263.90238095
If we take 4200 away from 4400, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The final result is 9263.90238095 with a remainder of 2e-07.